Step 1In a small bowl, combine the orange peel, golden raisins, seedless raisins and rum and let stand 30 minutes.
Step 2In the bowl of a stand mixer or a large bowl, sprinkle the yeast over one-fourth cup warm water (110 to 115 degrees) and stir until dissolved. Stir in 1 teaspoon of the sugar. Let stand until the yeast begins to bubble, about 5 minutes.
Step 3To the yeast mixture, add the eggs, egg yolks, remaining sugar, vanilla pod seeds and the salt. Beat until combined with the whisk attachment on a stand mixer, or with a whisk by hand. Beat in the flour until blended with a paddle attachment or by hand using a fork.
Step 4Beat in the softened butter (if not using a stand mixer, this may need to be done with your hands), a little at a time until dough has a glossy sheen and becomes ropey, about 5 minutes (10 minutes by hand).
Step 5Remove the dough from the bowl and knead on a lightly floured board about 10 minutes. Shape the dough into a ball and let rise in a lightly buttered bowl until doubled in bulk, 45 minutes to 1 hour.
Step 6Punch down the dough and lightly knead in the macerated candied orange peel and raisins. Divide the dough in half. Shape each half into a ball. Place 1 ball into each of two 5-inch-wide and 3-inch-deep paper panettone liners on a baking sheet. Cut a cross on the top of each of the balls of dough. Brush the tops with melted butter.
Step 7Let the panettones rise until doubled, about 45 minutes to 1 hour. Brush with butter. Put a second baking sheet under the panettones and bake in a 350-degree oven 30 to 35 minutes. When done, the panettones will be puffed and rich golden-brown.